Scalable TFETI algorithm for the solution of multibody contact problems of elasticity
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27240%2F10%3A86075323" target="_blank" >RIV/61989100:27240/10:86075323 - isvavai.cz</a>
Alternative codes found
RIV/61989100:27230/10:86075323
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Scalable TFETI algorithm for the solution of multibody contact problems of elasticity
Original language description
A Total FETI (TFETI) based domain decomposition algorithm with preconditioning by a natural coarse grid of the rigid body motions is adapted to the solution of contact problems of elasticity in 2D and 3D and proved to be scalable for coercive problems. Thus for the problems with prescribed displacements that are sufficient to prevent the bodies from ``floating'', our algorithm finds an approximate solution at the cost asymptotically proportional to the number of variables provided the ratio of the decomposition parameter and the discretization parameter is bounded. The analysis is based on the classical results by Farhat, Mandel, and Roux on scalability of FETI with a natural coarse grid for linear problems and on our development of optimal quadratic programming algorithms for bound and equality constrained problems. The algorithm preserves parallel scalability of the classical FETI method. Both theoretical results and numerical experiments indicate a high efficiency of our algorithm.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
<a href="/en/project/GA201%2F07%2F0294" target="_blank" >GA201/07/0294: Qualitative analysis of contact problems with friction and asymptotically optimal algorithms for their solution</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2010
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
ISSN
0029-5981
e-ISSN
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Volume of the periodical
82
Issue of the periodical within the volume
11
Country of publishing house
GB - UNITED KINGDOM
Number of pages
22
Pages from-to
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UT code for WoS article
000277903200002
EID of the result in the Scopus database
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